AbstractAbout AuthorsReferences
Thermal calculations to substantiate technical solutions in the design of highways in the cryolithozone are based on the determination and selection of a set thermal resistance of the structural layers of the pavement. The purpose of this study was to quantify the possibility of using an equivalent single-layer (instead of multi-layer) pavement structure in thermal resistance calculations. The classical formulas for stationary heat transfer through a flat wall were used for the analysis. Simple engineering formulas have been obtained for estimating the relative percentage error of thermal resistance values when using the equivalent pavement layer in calculations. As an example, the two-layer construction of the pavement is considered. The concept of the coefficient of inequality of thermal conductivity of materials of structural layers of pavement is introduced. It is shown that in order to achieve an error in the calculations less than acceptable in engineering practice, the inequality coefficient should not be less than the value of 0.52 and greater than the value of 1.92. The objective function of the permissible calculation error for the minimum is constructed and investigated. The results of numerical calculations are presented in the form of 2D and 3D graphs, which make it possible to visually assess the influence of the range of changes in the values of the thermal conductivity coefficients of materials of structural layers on the validity of using an equivalent single-layer pavement structure in thermal resistance calculations.
A.F. GALKIN1, Doctor of Sciences (Engineering), Professor (This email address is being protected from spambots. You need JavaScript enabled to view it.);
V.Yu. PANKOV2, Candidate of Sciences (Geology and Mineralogy), Docent (This email address is being protected from spambots. You need JavaScript enabled to view it.),
E.O. ZHIRKOVA2, (This email address is being protected from spambots. You need JavaScript enabled to view it.)
V.Yu. PANKOV2, Candidate of Sciences (Geology and Mineralogy), Docent (This email address is being protected from spambots. You need JavaScript enabled to view it.),
E.O. ZHIRKOVA2, (This email address is being protected from spambots. You need JavaScript enabled to view it.)
1 Melnikov Permafrost Institute, Siberian Branch, Russian Academy of Sciences (36, Merzlotnaya Street, Yakutsk, 677010, Russian Federation)
2 North-Eastern Federal University (58, Belinskogo Street, Yakutsk, 677027, Russian Federation)
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4. Galkin A.F., Pankov V.Yu. Thermal protection of roads in the permafrost zone. Journal of Applied Engineering Science. 2022. Vol. 20. No. 2, pp. 395–399. DOI: 10.5937/jaes0-34379
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6. Pankov V.Yu., Burnasheva S.G. Analysis of ways to protect roads from negative cryogenic processes In the collection: «The best student article 2020».ICNS «Science and Enlightenment». 2020, pp. 52–55. (In Russian).
7. Shats M.M. The current state of the urban infrastructure of Yakutsk and ways to improve its reliability. Georisk. 2011. No. 2, pp. 40–46. (In Russian).
8. Serikov S.I., Shats M.M. Frost cracking of soils and its role in the state of the surface and infrastructure of Yakutsk. Vestnik of the Perm National Research Polytechnic University. Applied Ecology. Urba-nistics. 2018. No. 1, pp. 56–69. (In Russian). DOI: 10.15593/2409-5125/2018.01.04
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12. Galkin A.F., Kurta I.V., Pankov V.Yu., Potapov A.V. Evaluation of the effectiveness of the use of layered structures of thermal protection in the construction of roads in cryolithozone. Energobezopasnost’ i energosberezheniye. 2020. No. 4, pp. 24–28. (In Russian).
13. Bessonov I.V., Zhukov A.D., Bobrova E.Yu., Govryakov I.S., Gorbunova E.A. Analysis of constructive solutions depending on the type of insulating materials in road surfaces in permafrostnye soils. Transportnoye stroitel’stvo. 2022. No. 1, pp. 14–17. (In Russian). DOI: 10.18635/2071-2219-2020-4-24-28
14. Galkin A.F., Zheleznyak M.N., Zhirkov A.F. Increasing the thermal stability of the embankment in permafrost regions. Stroitel’nye Materialy [Construction Materials]. 2021. No. 7, pp. 26–31. (In Russian). DOI: https://doi.org/10.31659/0585-430X-2021-793-7-26-31
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16. Galkin A.F. Thermal resistance of the heat-shielding layer of road clothing // Natural and technical sciences. 2021. №8, pp.97–99. (In Russian)
17. Dulnev G.I. Thermal conductivity of wet porous materials. ITZH. 1989. Vol. 56. No. 2, pp. 261–291. (In Russian).
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20. Galkin А.F., Kurta I.V., Pankov V.Yu. Calculation of thermal conductivity coefficient of thermal insulation mixtures. IOP Conf. Series: Materials Science and Engineering. 2020. Vol. 918. 012009. doi:10.1088/1757-899X/918/1/012009
2. Eppelbaum L.V., Kutasov I.M. Well drilling in permafrost regions: Dynamics of the thawed zone. Polar Research. 2019. Vol. 38. 3351. DOI: https://doi.org/10.33265/polar.v38.3351
3. Zhang X., Feng S.G., Chen P.C. Thawing settlement risk of running pipeline in permafrost regions // Oil Gas Storage Transporation. 2013. No. 6, pp. 365–369.
4. Galkin A.F., Pankov V.Yu. Thermal protection of roads in the permafrost zone. Journal of Applied Engineering Science. 2022. Vol. 20. No. 2, pp. 395–399. DOI: 10.5937/jaes0-34379
5. Zhirkov A.F., Zheleznyak M.N., Shats M.M., Sivtsev M.A. Numerical modeling of changes in permafrost conditions of the airport Olekminsk. Marksheyderiya i nedropol’zovaniye. 2021. No. 5 (115), pp. 22–32. (In Russian).
6. Pankov V.Yu., Burnasheva S.G. Analysis of ways to protect roads from negative cryogenic processes In the collection: «The best student article 2020».ICNS «Science and Enlightenment». 2020, pp. 52–55. (In Russian).
7. Shats M.M. The current state of the urban infrastructure of Yakutsk and ways to improve its reliability. Georisk. 2011. No. 2, pp. 40–46. (In Russian).
8. Serikov S.I., Shats M.M. Frost cracking of soils and its role in the state of the surface and infrastructure of Yakutsk. Vestnik of the Perm National Research Polytechnic University. Applied Ecology. Urba-nistics. 2018. No. 1, pp. 56–69. (In Russian). DOI: 10.15593/2409-5125/2018.01.04
9. Shesternev D.M., Litovko A.V. Comprehensive research on the identification of deformations on the Amur highway. Materials of the reports of the XIV All-Russian Scientific and Practical Conference and Exhibition «Prospects for the Development of Engineering Surveys in Construction in the Russian Federation». Moscow: «Geomarke». 2018, pp. 309–314. (In Russian).
10. Zheleznyak M.N., Shesternev D.M., Litovko A.V. Problems of stability of roads in the cryolithozone. Materials of the reports of the XIV All-Russian Scientific and Practical Conference and Exhibition «Prospects for the Development of Engineering Surveys in Construction in the Russian Federation». Moscow: «Geomarket». 2018, pp. 223–227. (In Russian).
11. Kondratyev V.G., Kondratyev S.V. How to protect the federal highway «Amur» Chita – Khabarovsk from dangerous engineering and geocryological processes and phenomena. Engineering geology. 2013. No. 5,pp. 40–47. (In Russian).
12. Galkin A.F., Kurta I.V., Pankov V.Yu., Potapov A.V. Evaluation of the effectiveness of the use of layered structures of thermal protection in the construction of roads in cryolithozone. Energobezopasnost’ i energosberezheniye. 2020. No. 4, pp. 24–28. (In Russian).
13. Bessonov I.V., Zhukov A.D., Bobrova E.Yu., Govryakov I.S., Gorbunova E.A. Analysis of constructive solutions depending on the type of insulating materials in road surfaces in permafrostnye soils. Transportnoye stroitel’stvo. 2022. No. 1, pp. 14–17. (In Russian). DOI: 10.18635/2071-2219-2020-4-24-28
14. Galkin A.F., Zheleznyak M.N., Zhirkov A.F. Increasing the thermal stability of the embankment in permafrost regions. Stroitel’nye Materialy [Construction Materials]. 2021. No. 7, pp. 26–31. (In Russian). DOI: https://doi.org/10.31659/0585-430X-2021-793-7-26-31
15. Isachenko V.P., Osipova V.A., Sukomel A.S. Teploperedacha [Heat transfer]. Moscow: Energoizdat. 1981. 416 p.
16. Galkin A.F. Thermal resistance of the heat-shielding layer of road clothing // Natural and technical sciences. 2021. №8, pp.97–99. (In Russian)
17. Dulnev G.I. Thermal conductivity of wet porous materials. ITZH. 1989. Vol. 56. No. 2, pp. 261–291. (In Russian).
18. Odelevsky V.I. Calculation of generalized conductivity of heterogeneous systems. Zhurnal tekhnicheskoi fiziki. 1951. Vol. 21. No. 6, pp. 667–685. (In Russian).
19. Dulnev G.N., Zarichnyak Yu.P. Teploprovodnost’ smesey i kompozitsionnykh materialov [Thermal conductivity of mixtures and composite materials]. Leningrad: Energiya. 1974. 264 p.
20. Galkin А.F., Kurta I.V., Pankov V.Yu. Calculation of thermal conductivity coefficient of thermal insulation mixtures. IOP Conf. Series: Materials Science and Engineering. 2020. Vol. 918. 012009. doi:10.1088/1757-899X/918/1/012009
For citation: Galkin A.F., Pankov V.Yu., Zhirkova E.O. Calculation of thermal resistance of pavement. Stroitel’nye Materialy [Construction Materials]. 2022. No. 11, pp. 70–75.(In Russian). DOI: https://doi.org/10.31659/0585-430X-2022-808-11-70-75